The generator matrix

 1  0  0  1  1  1  X X^2  1 X^2+X  1  1  1 X^2  1  1  0  1 X^2+X  X  1  1  0  0  1  1 X^2+X  1  1 X^2  1 X^2+X  1  1  1 X^2+X  0 X^2  1  1  1  X  1  1  1 X^2+X  1  1  0 X^2+X X^2+X  X X^2  1  1  1  1 X^2+X X^2  1  1 X^2 X^2+X  1  1 X^2+X  X  0  X  0  0  0  1  1  X X^2+X  1  1  1  1 X^2  1  1 X^2  1  1  1  1 X^2  1  1  1  1  1  X X^2  0
 0  1  0  0 X^2+1 X+1  1 X^2 X^2+X+1  1 X^2 X+1 X^2  1 X^2+X+1  0  1  1  0  1  0 X+1  1  1  1 X^2 X^2  X X^2+X  X X^2+X  1 X+1 X^2+X+1 X^2  X  1  1 X^2+X+1 X^2+X+1  X  1 X+1  X X^2  1 X^2+1 X+1  X X^2  1  1  1 X^2+X X^2+X+1  1  X  X  1  0 X^2+1  1  X X^2+1 X^2+1  1  1  1 X^2+X  X  1  1  1 X^2+X  X X^2  1 X^2+X X^2 X^2+X  0  X X^2  1  0  1  1 X^2  1 X^2+1 X^2+X  1  1  1 X^2 X^2  1
 0  0  1  1 X^2+1 X^2 X^2+1  1 X^2+X+1  0 X+1 X^2  0  1 X^2+X+1 X+1  0 X^2  1  1 X^2  0 X^2  1 X^2+1  1  1  0 X^2+1  1  X X^2+X+1  X X^2+1 X^2+X  1 X^2+X+1 X^2+X  0  1 X^2+X X^2+X X^2+X X+1  X X+1 X^2+X+1  X  1  1  X  1  X X^2+1  1 X+1 X^2+X+1  1 X^2+X+1 X^2+1 X^2+X X^2+1  1 X^2+X X^2  0  X X^2+X+1  1  X X^2+X+1 X^2+X X^2 X+1  X  1  0 X^2 X^2+X  1  1  0 X^2 X^2+X  1  0 X^2+X X+1 X^2+X+1  0  1 X^2+X+1  1 X^2+1  0  1 X+1
 0  0  0  X  X  0  X  X  0  X  0 X^2+X X^2+X X^2 X^2+X X^2+X  X  0  0 X^2 X^2  X X^2 X^2+X X^2 X^2 X^2+X X^2+X X^2+X X^2+X  X  0 X^2  X  X  0  X  X X^2  0 X^2  0  0  0 X^2+X X^2+X  0  X X^2  X X^2 X^2+X X^2+X  0 X^2+X  X  X  X  0 X^2+X X^2+X  0 X^2 X^2 X^2+X X^2 X^2+X X^2 X^2+X X^2+X X^2+X  0  X X^2+X  X X^2  0  X  0 X^2 X^2  0  X X^2  0 X^2  0 X^2  X  0  0 X^2+X X^2 X^2+X  0 X^2+X X^2+X

generates a code of length 97 over Z2[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+274x^92+132x^93+330x^94+128x^95+293x^96+120x^97+238x^98+36x^99+153x^100+44x^101+102x^102+12x^103+45x^104+4x^105+26x^106+12x^107+25x^108+16x^109+24x^110+4x^111+9x^112+4x^113+16x^114

The gray image is a linear code over GF(2) with n=388, k=11 and d=184.
This code was found by Heurico 1.16 in 0.954 seconds.